document.write( "Question 1079080: After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 1987, the hay in that country was contaminated by a radioactive isotope (half-life 6 days). If it is safe to feed the hay to cows when 88% of the radioactive isotope is gone, how long did the farmers need to wait to use this hay? \n" ); document.write( "
Algebra.Com's Answer #693445 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! P=Poe^(-kt) \n" ); document.write( "1/2=e^(-6k) \n" ); document.write( "ln of both sides \n" ); document.write( "-0.693=-6k \n" ); document.write( "k=0.1155 \n" ); document.write( "0.12=e^(-.1155*t) \n" ); document.write( "ln of both sides \n" ); document.write( "-2.12=-.1155t \n" ); document.write( "t=18.35 days. \n" ); document.write( "Check. \n" ); document.write( "half gone in 6 days \n" ); document.write( "three-quarters gone in 12 days \n" ); document.write( "seven-eights gone i 18 days. (0.125) \n" ); document.write( " \n" ); document.write( " |